What is the Greatest Common Factor of 15264 and 15270?

Greatest common factor (GCF) of 15264 and 15270 is 6.

GCF(15264,15270) = 6

We will now calculate the prime factors of 15264 and 15270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15264 and 15270.

How to find the GCF of 15264 and 15270?

We will first find the prime factorization of 15264 and 15270. After we will calculate the factors of 15264 and 15270 and find the biggest common factor number .

Step-1: Prime Factorization of 15264

Prime factors of 15264 are 2, 3, 53. Prime factorization of 15264 in exponential form is:

15264 = 2⁵ × 3² × 53¹

Step-2: Prime Factorization of 15270

Prime factors of 15270 are 2, 3, 5, 509. Prime factorization of 15270 in exponential form is:

15270 = 2¹ × 3¹ × 5¹ × 509¹

Step-3: Factors of 15264

List of positive integer factors of 15264 that divides 15264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 72, 96, 106, 144, 159, 212, 288, 318, 424, 477, 636, 848, 954, 1272, 1696, 1908, 2544, 3816, 5088, 7632

Step-4: Factors of 15270

List of positive integer factors of 15270 that divides 15264 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 509, 1018, 1527, 2545, 3054, 5090, 7635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15264 and 15270. The biggest common factor number is the GCF number.
So the greatest common factor 15264 and 15270 is 6.

Also check out the Least Common Multiple of 15264 and 15270